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Theory of Compression Channels for Postselected Quantum Metrology
1<a href="https://ror.org/03r06fs10">Nordita</a>, <a href="https://ror.org/026vcq606">KTH Royal Institute of Technology</a> and <a href="https://ror.org/05f0yaq80">Stockholm University</a>, Hannes Alfvéns vag 12, 106 91 Stockholm, Sweden.
Physical Review Letters
|July 12, 2024
Summary
This study introduces a general theory for compression channels in postselected quantum metrology. It shows how to minimize measurement noise and cost, even in noisy or expensive experiments.
Area of Science:
- Quantum Metrology
- Quantum Information Theory
Background:
- Postselected quantum metrology offers advantages in noisy or expensive experimental settings.
- Existing experimental protocols are specific instances of a broader theoretical framework.
Purpose of the Study:
- To develop a general theory for compression channels in postselected quantum metrology.
- To define metrics for compression quality and understand lossless compression channels.
- To explore methods for reducing measurement noise and cost.
Main Methods:
- Formulation of a general theory for compression channels.
- Definition of basic notions for characterizing compression quality.
- Analysis of lossless compression channels.
- Application to bipartite quantum systems.
Main Results:
- Identified compression channels as a key element in postselected quantum metrology.
- Demonstrated that previous experiments are particular cases of the general theory.
- Showed that compression loss can be minimized in bipartite systems, even with single-subsystem channels.
Conclusions:
- The developed theory provides a unified framework for postselected quantum metrology.
- Findings enable the distribution of quantum measurements to reduce noise and cost.
- Potential for significant advancements in practical quantum sensing and metrology.

